Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

problem 12: (first taught in lesson 36) select which shortcut can be us…

Question

problem 12: (first taught in lesson 36) select which shortcut can be used to prove this pair of triangles congruent. if no method applies, choose
one.\

Explanation:

Step1: Identify the common side

The two triangles share a common side. Let's call this side \( s \).

Step2: Analyze the given equal sides

We are given two pairs of equal sides (marked with tick - marks). Let's call them \( a\) and \( b\).

Step3: Apply the SSS (Side - Side - Side) congruence criterion

Since we have three pairs of equal sides (\(a\), \(b\), and the common side \(s\)), by the SSS (Side - Side - Side) congruence criterion, the two triangles are congruent.

Answer:

SSS (Side - Side - Side)